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Finding the Third Proportional to 12.19 and 19.13

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Solution

The third proportional to 12.19 and 19.13 is: 30.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.19 : 19.13 = 19.13 : x
  2. Step 2: Convert to fraction form
    12.19/19.13 = 19.13/x
  3. Step 3: Cross multiply
    12.19x = 19.13 × 19.13
  4. Step 4: Simplify right side
    12.19x = 365.77
  5. Step 5: Solve for x
    x = 365.77/12.19
  6. Step 6: Final answer
    x = 30.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.